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Finding the Fourth Proportional to 505.86, 758.79 and 351.96

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Solution

The fourth proportional to 505.86, 758.79 and 351.96 is: 527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 758.79 = 351.96 : x
  2. Step 2: Convert to fraction form
    505.86/758.79 = 351.96/x
  3. Step 3: Cross multiply
    505.86x = 758.79 × 351.96
  4. Step 4: Simplify right side
    505.86x = 267,063.73
  5. Step 5: Solve for x
    x = 267,063.73/505.86
  6. Step 6: Final answer
    x = 527.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.